221608008 has 128 divisors (see below), whose sum is σ = 638668800. Its totient is φ = 71155008.

The previous prime is 221607989. The next prime is 221608019. The reversal of 221608008 is 800806122.

It is a super-2 number, since 2×221608008² = 98220218419456128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842485 + ... + 842747.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^221608008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221608008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319334400).

221608008 is an abundant number, since it is smaller than the sum of its proper divisors (417060792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221608008 is a wasteful number, since it uses less digits than its factorization.

221608008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 221608008 is about 14886.5042236248. The cubic root of 221608008 is about 605.1482986867.

The spelling of 221608008 in words is "two hundred twenty-one million, six hundred eight thousand, eight".